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PIConGPU is fully open source and includes inline generation of far field radiation using Lienard Wiechert Potentials. https://github.com/ComputationalRadiationPhysics/picongpu Best, Michael

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In principle it's a nice idea but there are some major flaws. First of all, even in 2D, your scheme is a super-unstable configuration (tiny fluctuation would destroy it) and the use of the beam repulsion (space charge) in the inner region just does not work. If it would be strong enough to bend the beams, they would be themselves destroyed expelling plenty ...

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I think I found the answer, it was a bit tricky so I am posting it - Using vector calculus identity we can start by expanding $\frac{\partial B}{\partial t}$: $\frac{\partial B}{\partial t}$=$\nabla$x ($u'$x $B$) +$\nabla$x (($\Omega$ x $r$)x$B$) Here we need to use ...

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I mean, because of the Maxwell law $\nabla \cdot \vec B = 0$ you're going to find that it increases in one place and decreases in another. The Lorentz force is $\vec F = q ~ (\vec v \times \vec B),$ so an electron (negative $q$) travelling "forward" through an "upward" magnetic field will try to curve "left." The resulting current loop, as you say, is a ...

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